Two lengths are recorded as and

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

Two lengths are recorded as

14.6\,\text{cm}\,\pm\,0.1\,\text{cm}

and

7.24\,\text{cm}\,\pm\,0.02\,\text{cm}

. To which decimal place should the sum of the lengths be reported? (a) Nearest

0.01\,\text{cm}

(b) Nearest

0.1\,\text{cm}

1\,\text{cm}

(d) Nearest

0.001\,\text{cm}